Trigonometry Examples

$\frac{4 π}{3} + 2 (1) π$

Step 1

Multiply $2$ by $1$ .

$\frac{4 π}{3} + 2 π$

Step 2

To write $2 π$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4 π}{3} + 2 π \cdot \frac{3}{3}$

Step 3

Combine fractions.

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Step 3.1

Combine $2 π$ and $\frac{3}{3}$ .

$\frac{4 π}{3} + \frac{2 π \cdot 3}{3}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{4 π + 2 π \cdot 3}{3}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $3$ by $2$ .

$\frac{4 π + 6 π}{3}$

Step 4.2

Add $4 π$ and $6 π$ .

$\frac{10 π}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{10 π}{3}$

Decimal Form:

$10.47197551 \dots$